2 With the aid of series, prove that if f(z) = COS Z Z-π/2 −1 when z = π/2, when z = π/2 then f is an entire function. Also write the first three terms of the series representation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2
With the aid of series, prove that if
f(z)
=
COS Z
Z-π/2
−1
when z ‡ π/2,
when z = π/2
then f is an entire function. Also write the first three terms of the series
representation.
Transcribed Image Text:2 With the aid of series, prove that if f(z) = COS Z Z-π/2 −1 when z ‡ π/2, when z = π/2 then f is an entire function. Also write the first three terms of the series representation.
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